A researcher is concerned that graduate students get less than the recommended 8 hours of sleep a night. She selects a random sample of 45 students at a local university and asks them how much sleep they get on a typical night.

Answer:

x - 8>-4-x

Step-by-step explanation:

Looking at x - 8>-4-x

Collect the like terms;

x+x > -4 + 8

2x < 4

x > 4/2

x < 2

Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4

Answer:

Two steps:

a) 12345×8+5=98765

b)123456×8+6=987654

Answer:

log(4).

Step-by-step explanation:

By the law of logarithms:

log(8) - log(2)

= log(8/2)

= log(4).

Answer: 5.5. if you divide you will clearly see it is 5.5 so D

Step-by-step explanation:

Answer:

Step-by-step explanation:

i don’t know

Answer:

25.12 cm

Step-by-step explanation:

circumference= 2pi*r

3.14x8x2= 50.24

50.24/2= 25.12 cm

Or you could have just done 3.14 x8 which equals 25.12 as well

Question: What is the solution to 2x^2+8x=x^2-16?

Answer: x=-4 is what I got I'm not sure if u meant to put one of the 4's as -4 but yeah I got -4 and did it twice and got -4 again. Hope that helped.

Answer:

15

Step-by-step explanation:

If you want to convert Oz to lb then divide by 16

240/16

15

Answer:

The team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.

Step-by-step explanation:

Since a basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots, and altogether, the team made 52 baskets and 11 more 2-pointers than foul shots, to determine how many shots of each kind were made, the following calculations must be performed:

19 x 3 + 22 x 2 + 11 x 1 = 57 + 44 + 11 = 112

9 x 3 + 27 x 2 + 16 x 1 = 27 + 54 + 16 = 97

7 x 3 + 28 x 2 + 17 x 1 = 21 + 56 + 17 = 94

Therefore, the team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.

Answer:

C(s) = total cost function

$5,500 base price to rent trucks

$250 per ton of sugar to be transported

Total Cost = Price per ton of sugar * # of tons + total cost to rent trucks

C(s) = $250s + $5,500

For 14 tons of sugar the total cost would be:

C(s) = $250(14 tons) + $5,500

C(s) = $9,000

Total cost to transport 14 tons of sugar would cost $9,000

Step-by-step explanation:

4x+11+8x+1=180 (the two angles given is supplementary angles)

11x+12= 180

11x=168

x=168/11

x=15.27

please give brainly if it helps

Answer:

x = 14

Step-by-step explanation:

Same side interior angles are supplementary.

Therefore ,

              ( 4x + 11)° + ( 8x + 1 )° = 180 °

                  4x + 11 + 8x + 1 = 180

                       12x + 12 = 180

                        12x = 180 - 12

                             12x = 168

                                 x = 14

Answer:

The roots for [tex]f(x) = \cos 4x - 4\cdot x^{2} + 9\cdot x[/tex] are [tex]x_{1} = -0.098[/tex] and [tex]x_{2} = 2.166[/tex], respectively.

Step-by-step explanation:

A root is a value of [tex]x[/tex] so that [tex]f(x) = 0[/tex]. Let suppose that function is the consequence of the subtraction between two functions, that is:

[tex]f(x) = g(x) - h(x)[/tex] (1)

If we know that [tex]f(x) = 0[/tex], [tex]g(x) = \cos 4 x[/tex] and [tex]h(x) = 4\cdot x^{2}-9\cdot x[/tex], then we have the following identity:

[tex]g(x) = h(x)[/tex]

We can estimate graphically the roots of [tex]f(x)[/tex] by graphing the following system:

[tex]y = \cos 4x[/tex] (2)

[tex]y = 4\cdot x^{2}-9\cdot x[/tex] (3)

Where roots are the points in which functions find each other.

With the help of a graphing, we estimate two solutions:

[tex](x_{1}, y_{1}) = (-0.098, 0.924)[/tex], [tex](x_{2}, y_{2}) = (2.166, -0.725)[/tex]

Answer:

10

Step-by-step explanation:

Answer:

Jason - 9.375 miles per hour

Kevin -7.875 miles per hour

Step-by-step explanation:

Let Jason’s running speed be x miles per hour

Kevin runs 1.5 miles per hour less;

so his running speed will be (x-1.5) miles per hour

At any point, distance = speed * time

Their running time is same here;

Jason’s running time will be 5/x

Kevin’s running time will be 4.2/(x-1.5)

These times are equal;

So;

5/x = 4.2/(x-1.5)

5(x-1.5) = 4.2x

5x - 7.5 = 4.2x

5x-4.2x = 7.5

0.8x = 7.5

x = 7.5/0.8

x = 9.375 miles per hour

So kevin’s speed will be 9.375 - 1.5 = 7.875 miles per hour

Answer:

his salary is rs 6000 & his tax amount is rs 1500 :)

Answer:

6000,1500

Step-by-step explanation:

Let Gopi's salary be 'x'

He paid 25% of his salary as tax. = 25% of x = 25x/100 = x/4  

He spent 1/3 of his salary on groceries = x/3

Getting his salary:-

x-x/3-x/4=2500

(12x-4x-3x)/12=2500

5x/12=2500

x=

(2500x12)/5

x=500x12=6000

Tax amount:-

6000x25/100=1500

Use the slope formula below:

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.

[tex] \large{m = \frac{0 - ( - 7)}{0 - 6} } \\ \large{m = \frac{0 + 7}{ - 6} \longrightarrow \frac{7}{ - 6} } \\ \large \boxed{m = - \frac{7}{6} }[/tex]

We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.

[tex] \large \boxed{y = mx + b}[/tex]

The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.

[tex] \large{y = - \frac{7}{6} x + b}[/tex]

Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:

[tex] \large \boxed{y = - \frac{7}{6} + 0 \longrightarrow y = - \frac{7}{6} x}[/tex]

Answer

Hope this helps and let me know if you have any doubts! Good luck on your assignment!

Hi there!  

»»————-　★　————-««

I believe your answer is:  

Option B: [tex]y=-5x-6[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Slope-Intercept Form:}}\\\\------------\\y=mx+b\\\\\boxed{\text{\underline{Key}}}\\\\\rightarrow\text{m - slope}\\\\\rightarrow\text{b - y-intercept}[/tex]

⸻⸻⸻⸻

We are given the information of:

⸻⸻⸻⸻

[tex]\boxed{\text{Replace The Variables with The Appropriate Values:}}\\\\y=mx+b\\\\\rightarrow\text{-5 would replace 'm', -6 would replace 'b'.}\\\\\text{\underline{Therefore:}}\\\\y=mx+b\rightarrow\boxed{y=-5x-6}[/tex]

⸻⸻⸻⸻

Option B should be the correct answer.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

1,439.97

Step-by-step explanation:

Price x 1.07 = price including sales tax

price x 1.07=1540.77

price=1540.77/1.07

price= 1439.97

The price of the microscope before the sales tax was added when calculated is; $1439.97

We are told that Charlene paid $1540.77 (including sales tax) for a microscope. Thus, the price before sales tax can be gotten from the formula;

Price before sales tax × 1.07 = Price including sales tax

Thus, plugging in the relevant values;

Price before sales tax × 1.07 = 1540.77

Price before sales tax = 1540.77/1.07

Price before sales tax = $1439.97

Read more about Algebra Problems at; https://brainly.com/question/4344214

#SPJ2

Answer:

The minimum is 59/12

Step-by-step explanation:

you should calculate the -b/2a = -7/6

you should put -7/6 in the x variable

Answer:

No choices listed.

Step-by-step explanation:

9514 1404 393

Answer:

  40

Step-by-step explanation:

The "initial value" is the value when x=0.

  [tex]f(x)=\dfrac{800}{1+19e^{-0.402x}}\\\\f(0) =\dfrac{800}{1+19e^0}=\dfrac{800}{1+19}=\dfrac{800}{20}\\\\=\boxed{40}[/tex]

The initial value is 40.

Answer:

b. DC = 29 and DE = 44.5

Step-by-step explanation:

Given:

AB = 29

BD = 89

Required:

DC and DE

Solution:

✔️DC = AB (opposite sides of a parallelogram are equal)

Therefore,

DC = 29 (Substitution)

✔️DE = half of diagonal BD (Diagonals of a parallelogram bisect each other)

DE = ½(89)

DE = 44.5

Answer:

Total Cost = 29x + 0.32y

Step-by-step explanation:

It is 29x since you pay $29 per day, and x represents the number of days.

It is 0.32y since you pay $0.32 per mile, and y represents the number of miles.

Solution :

Given the average range of the holes drilled = 0.10 cm

The average diameter of the holes drilled = 0.25 cm

The sample size = 4

For the sample size of 4, the factor for control limit for the range ([tex]D_4[/tex]) = 2.28  (From the table of constants for X-bar and R-chart)

The upper control limit for the R-chart = R-bar x [tex]D_4[/tex]

                                                                = 0.10 x 2.28

                                                                = 0.228

Therefore, the answer is greater than 0.202 but less than or equal to 0.302

Answer:

The rate of change is of of the area when the radius is 4 centimeters [tex]48\pi[/tex] square centimeters.

Step-by-step explanation:

Area of a circle:

The area of a circle of radius r is given by:

[tex]A = \pi r^2[/tex]

Implicit derivative:

To solve this question, we have to derivate implictly the equation as a function of t. Thus:

[tex]\frac{dA}{dt} = 2\pi r \frac{dr}{dt}[/tex]

The radius of a circle is increasing at a rate of 6 centimeters per minute.

This means that [tex]\frac{dr}{dt} = 6[/tex]

Find the rate of change of the area when the radius is 4 centimeters.

This is [tex]\frac{dA}{dt}[/tex] when [tex]r = 4[/tex]. Thus

[tex]\frac{dA}{dt} = 2\pi r \frac{dr}{dt} = 2\pi(4)(6) = 48\pi[/tex]

The rate of change is of of the area when the radius is 4 centimeters [tex]48\pi[/tex] square centimeters.